Finite Group Databasebeta

← Group #28749

Character table — Group #28749

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58
size11111111222222222222222244444444444444444444448888888816161616
order1222222244444444444444444444448888888888888888444444442222
χ11111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ121111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ131111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ141111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ151111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222-2-222222222-2-2-2-2-2-2-2-222-2-20000000000000000000000000000
χ1822222222-2-22222-2-2-2-2-2-2-2-2-2-222-2-2220000000000000000000000000000
χ1922222222-2-2-2-2-2-222222222-2-2-2-2-2-2220000000000000000000000000000
χ2022222222-2-2-2-2-2-2-2-2-2-22222-2-22222-2-20000000000000000000000000000
χ212222-2-2-2-20022-2-222-2-2000000002-200i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000
χ222222-2-2-2-20022-2-222-2-2000000002-200−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000
χ232222-2-2-2-20022-2-2-2-22200000000-2200i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2000000000000
χ242222-2-2-2-20022-2-2-2-22200000000-2200−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2000000000000
χ252222-2-2-2-200-2-22222-2-200000000-2200i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2000000000000
χ262222-2-2-2-200-2-22222-2-200000000-2200−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2000000000000
χ272222-2-2-2-200-2-222-2-222000000002-200i2i2−i2−i2−i2−i2i2i2−i2−i2i2i2i2i2−i2−i2000000000000
χ282222-2-2-2-200-2-222-2-222000000002-200−i2−i2i2i2i2i2−i2−i2i2i2−i2−i2−i2−i2i2i2000000000000
χ2922-2-222-2-22-200002-22-200002-22-2000000002i−2i2i−2i00002i−2i2i−2i000000000000
χ3022-2-222-2-22-200002-22-200002-22-200000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ3122-2-222-2-22-20000-22-2200002-2-22000000002i−2i2i−2i0000−2i2i−2i2i000000000000
χ3222-2-222-2-22-20000-22-2200002-2-2200000000−2i2i−2i2i00002i−2i2i−2i000000000000
χ3322-2-222-2-2-2200002-22-20000-22-2200002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ3422-2-222-2-2-2200002-22-20000-22-220000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ3522-2-222-2-2-220000-22-220000-222-200002i−2i2i−2i0000−2i2i−2i2i0000000000000000
χ3622-2-222-2-2-220000-22-220000-222-20000−2i2i−2i2i00002i−2i2i−2i0000000000000000
χ3722-2-2-2-2220000002-2-2222-2-20000002-22−2−222−2−222−2−222−2−22000000000000
χ3822-2-2-2-2220000002-2-2222-2-20000002-2−222−2−222−2−222−2−222−2000000000000
χ3922-2-2-2-2220000002-2-22-2-222000000-222−2−22−222−22−2−22−222−2000000000000
χ4022-2-2-2-2220000002-2-22-2-222000000-22−222−22−2−22−222−22−2−22000000000000
χ4122-2-2-2-222000000-222-222-2-2000000-222−2−222−2−22−222−2−222−2000000000000
χ4222-2-2-2-222000000-222-222-2-2000000-22−222−2−222−22−2−222−2−22000000000000
χ4322-2-2-2-222000000-222-2-2-2220000002-22−2−22−222−2−222−22−2−22000000000000
χ4422-2-2-2-222000000-222-2-2-2220000002-2−222−22−2−222−2−22−222−2000000000000
χ452-22-22-22-2222-22-200002-22-2-2-2000000000000000000000000002i−2i2i−2i0000
χ462-22-22-22-2222-22-200002-22-2-2-200000000000000000000000000−2i2i−2i2i0000
χ472-22-22-22-222-22-220000-22-22-2-2000000000000000000000000002i−2i−2i2i0000
χ482-22-22-22-222-22-220000-22-22-2-200000000000000000000000000−2i2i2i−2i0000
χ492-22-22-22-2-2-22-22-20000-22-222200000000000000000000002-22-200000000
χ502-22-22-22-2-2-22-22-20000-22-22220000000000000000000000-22-2200000000
χ512-22-22-22-2-2-2-22-2200002-22-22200000000000000000000002-2-2200000000
χ522-22-22-22-2-2-2-22-2200002-22-2220000000000000000000000-222-200000000
χ534-44-4-44-44004-4-4400000000000000000000000000000000000000000000
χ544-44-4-44-4400-444-400000000000000000000000000000000000000000000
χ554-4-444-4-444-4000000000000-440000000000000000000000000000000000
χ564-4-444-4-44-440000000000004-40000000000000000000000000000000000
χ574-4-44-444-400000000004-4-44000000000000000000000000000000000000
χ584-4-44-444-40000000000-444-4000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).